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20655972 = 223579269
BaseRepresentation
bin100111011001…
…0111101100100
31102212102200000
41032302331210
520241442342
62014421300
7340400331
oct116627544
942772600
1020655972
1110729157
126b01830
134382b8c
142a59988
151c3044c
hex13b2f64

20655972 has 72 divisors (see below), whose sum is σ = 55036800. Its totient is φ = 6772896.

The previous prime is 20655967. The next prime is 20655989. The reversal of 20655972 is 27955602.

20655972 is a `hidden beast` number, since 2 + 0 + 65 + 597 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76654 + ... + 76922.

It is an arithmetic number, because the mean of its divisors is an integer number (764400).

Almost surely, 220655972 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20655972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27518400).

20655972 is an abundant number, since it is smaller than the sum of its proper divisors (34380828).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20655972 is a wasteful number, since it uses less digits than its factorization.

20655972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 20655972 is about 4544.8841569395. The cubic root of 20655972 is about 274.3775320394.

The spelling of 20655972 in words is "twenty million, six hundred fifty-five thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 79 81 108 158 162 237 243 269 316 324 474 486 538 711 807 948 972 1076 1422 1614 2133 2421 2844 3228 4266 4842 6399 7263 8532 9684 12798 14526 19197 21251 21789 25596 29052 38394 42502 43578 63753 65367 76788 85004 87156 127506 130734 191259 255012 261468 382518 573777 765036 1147554 1721331 2295108 3442662 5163993 6885324 10327986 20655972